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Finding the Third Proportional to 80,019 and 172,440

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Solution

The third proportional to 80,019 and 172,440 is: 371,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,019 : 172,440 = 172,440 : x
  2. Step 2: Convert to fraction form
    80,019/172,440 = 172,440/x
  3. Step 3: Cross multiply
    80,019x = 172,440 × 172,440
  4. Step 4: Simplify right side
    80,019x = 29,735,553,600
  5. Step 5: Solve for x
    x = 29,735,553,600/80,019
  6. Step 6: Final answer
    x = 371,606.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.